Explanation, Evolution and Subjective Probability in Everett Quantum Mechanics with Positive Preclusion
arXiv:0912.4239
Abstract
The usual interpretational rule of quantum mechanics which states that outcomes do not occur when their weights are zero is changed so as to preclude outcomes with weights less than a small but positive value. With this "positive preclusion" rule, and in the absence of any notion of objective probability, Everett quantum mechanics has the explanatory power to account for the evolution of organisms with subjective expectations of probability that are in accord with the Born rule. Positive preclusion also allows for the derivation of a connection between weight and relative frequency in situations involving a finite number of measurements.
Slightly expanded and rewritten for greater clarity; deemphasis of the role of inductive learning.
References in corpus (17)
- Probabilities from Entanglement, Born's Rule from Envariance
- Stochastic Models of Evolution in Genetics, Ecology and Linguistics
- Quantum Dynamics without the Wave Function
- An exercise in "anhomomorphic logic"
- A formal proof of the Born rule from decision-theoretic assumptions
- An introduction to many worlds in quantum computation
- Dynamical Wave Function Collapse Models in Quantum Measure Theory
- The emergence of probabilities in anhomomorphic logic
- Quantum Measure Theory: A New Interpretation
- Many worlds and the emergence of probability in quantum mechanics
- Generalization of the Born rule
- Popescu-Rohrlich Boxes in Quantum Measure Theory
- Observers and Locality in Everett Quantum Field Theory
- Quantum Mechanics and imprecise probability
- Origin of which-way information and generalization of the Born rule
- Macroscopic observables and the Born rule
- Irreversibility in Collapse-Free Quantum Dynamics and the Second Law of Thermodynamics